題目 Problem 甲、填充題:共 10 題,每題 8 分,共 80 分。請將答案依題號順序寫在答案卷上,不必寫演算過程。 Suppose that xxx and yyy are related by the equation x=∫0y11+4t2 dtx=\displaystyle\int_0^y \frac{1}{\sqrt{1+4t^2}}\,dtx=∫0y1+4t21dt. Find dydx\dfrac{dy}{dx}dxdy. Answer : \underline{\quad(1)\quad} 解答